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Non-Markovian Quantum Dissipation in the Presence of External Fields

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Advanced Topics in Theoretical Chemical Physics

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 12))

Abstract

This article reviews from both theoretical and numerical aspects three non-equivalent complete second-order formulations of quantum dissipation theory, in which both the reduced dynamics and the initial canonical thermal equilibrium are properly treated in the weak system-bath coupling limit. Two of these formulations are rather familiar as the time-local and the memory-kernel prescriptions, while another which can be termed as correlated driving-dissipation equations of motion will be shown to have the combined merits of the two conventional formulations. By exploiting the exact solutions to the driven Brownian oscillator system, we demonstrate that the time-local and correlated driving-dissipation equations of motion formulations are usually better than their memory-kernel counterparts, in terms of their applicability to a broad range of system-bath coupling, non-Markovian, and temperature parameters. Numerical algorithms are detailed for an efficient evaluation of both the reduced canonical thermal equilibrium state and the non-Markovian evolution at any temperature, in the presence of arbitrary time-dependent external fields.

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Author information

Authors and Affiliations

  1. Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Hong Kong

    Ruixue Xu, Yan Mo & Ping Cui

  2. Open Laboratory of Bond-Selective Chemistry, University of Science and Technology, Hefei, China

    Ruixue Xu, Yan Mo & Ping Cui

  3. Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Hong Kong

    Sheng-Hsien Lin & Yijing Yan

  4. Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan

    Sheng-Hsien Lin

Authors
  1. Ruixue Xu
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  2. Yan Mo
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  3. Ping Cui
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  4. Sheng-Hsien Lin
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  5. Yijing Yan
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Editor information

Editors and Affiliations

  1. Laboratoire de Chimie Physique, Université Pierre et Marie Curie, Paris, France

    Jean Maruani (Director of Research at CNRS, President of CMOA) (Director of Research at CNRS, President of CMOA)

  2. Laboratoire de Photophysique Moléculaire, Université Paris-Sud, Orsay, France

    Roland Lefebvre

  3. Department of Quantum Chemistry, University of Uppsala, Sweden

    Erkki J. Brändas

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Xu, R., Mo, Y., Cui, P., Lin, SH., Yan, Y. (2003). Non-Markovian Quantum Dissipation in the Presence of External Fields. In: Maruani, J., Lefebvre, R., Brändas, E.J. (eds) Advanced Topics in Theoretical Chemical Physics. Progress in Theoretical Chemistry and Physics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0635-3_2

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  • DOI: https://doi.org/10.1007/978-94-017-0635-3_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6401-1

  • Online ISBN: 978-94-017-0635-3

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